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Finding the Fourth Proportional to 5,338.74, 8,002.62 and 2,049.24

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Solution

The fourth proportional to 5,338.74, 8,002.62 and 2,049.24 is: 3,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.74 : 8,002.62 = 2,049.24 : x
  2. Step 2: Convert to fraction form
    5,338.74/8,002.62 = 2,049.24/x
  3. Step 3: Cross multiply
    5,338.74x = 8,002.62 × 2,049.24
  4. Step 4: Simplify right side
    5,338.74x = 16,399,289.01
  5. Step 5: Solve for x
    x = 16,399,289.01/5,338.74
  6. Step 6: Final answer
    x = 3,071.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.